The resultant of two vectors \(\overrightarrow{\mathrm{P}}\) and \(\overrightarrow{\mathrm{Q}}\) is \(\overrightarrow{\mathrm{R}}\). When the direction of \(\overrightarrow{\mathrm{Q}}\) is reversed, the
resultant is given by \(\overrightarrow{\mathrm{S}}\). Which one of the following is true for vectors \(\overrightarrow{\mathrm{R}}\) and \(\overrightarrow{\mathrm{S}}\) ?

1. A \(\mathrm{R}^{2}-\mathrm{S}^{2}=\left(\mathrm{P}^{2}+\mathrm{Q}^{2}\right)\)
2. B \(\mathrm{R}^{2}-\mathrm{S}^{2}=2(\overrightarrow{\mathrm{P}} \cdot \overrightarrow{\mathrm{Q}})\)
3. C \(\mathrm{R}^{2}+\mathrm{S}^{2}=4(\overrightarrow{\mathrm{P}} \cdot \overrightarrow{\mathrm{Q}})\)
4. D \(\mathrm{R}^{2}+\mathrm{S}^{2}=2\left(\mathrm{P}^{2}+\mathrm{Q}^{2}\right)\)